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Finding the Fourth Proportional to 16,194.62, 22,348.65 and 9,121.16

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Solution

The fourth proportional to 16,194.62, 22,348.65 and 9,121.16 is: 12,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.62 : 22,348.65 = 9,121.16 : x
  2. Step 2: Convert to fraction form
    16,194.62/22,348.65 = 9,121.16/x
  3. Step 3: Cross multiply
    16,194.62x = 22,348.65 × 9,121.16
  4. Step 4: Simplify right side
    16,194.62x = 203,845,612.43
  5. Step 5: Solve for x
    x = 203,845,612.43/16,194.62
  6. Step 6: Final answer
    x = 12,587.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.